2 year(s) ago, Fatima invested 6,190 dollars. In 1 year(s) from today, she expects to have 8,950 dollars. If Fatima expects to earn the same annual return after 1 year from today as the annual rate implied from the past and expected values given in the problem, then in how many years from today does she expect to have exactly 11,920 dollars? Round your answer to 2 decimal places (for example, 2.89, 14.70, or 6.00).
Please provide the work including the financial formulas. Don't use excel or the log function in your work, I need to know how to compute it by hand during an exam. I've posted this problem previously before and everyone seems to make errors.